Demonstrators against the stop-and-frisk proposal gather on the steps of City Hall on Tuesday.

Demonstrators against the stop-and-frisk proposal gather on the steps of City Hall on Tuesday.

Photo: Michael Macor, The Chronicle

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Dozens join a rally on the steps of City Hall San Francisco, Calif. on Tuesday July 17, 2012. A rally led by the Black Young Democrats of San Francisco, are calling on Mayor Ed Lee to put a stop to the controversial Stop and Frisk policing proposal. A petition containing 2,000 signatures was collected to show the opposition to the policy.

Dozens join a rally on the steps of City Hall San Francisco, Calif. on Tuesday July 17, 2012. A rally led by the Black Young Democrats of San Francisco, are calling on Mayor Ed Lee to put a stop to the

Mattie Scott, who's son George C. Scott was killed by street gunfire, listens to testimony in opposition to a proposed stop-and-frisk policy outside of city hall in San Francisco, Tuesday, July 17, 2012. San Francisco Mayor Ed Lee's floating of a controversial stop-and-frisk policy used in other major cities, including New York, has sparked a backlash from several city supervisors and concerns, particularly among the African American and Hispanic communities. (AP Photo/Marcio Jose Sanchez)

Mattie Scott, who's son George C. Scott was killed by street gunfire, listens to testimony in opposition to a proposed stop-and-frisk policy outside of city hall in San Francisco, Tuesday, July 17, 2012. San

Activist Theo Ellington voices his opposition to a proposed stop-and-frisk policy outside of city hall, in San Francisco, Tuesday, July 17, 2012. San Francisco Mayor Ed Lee's floating of a controversial stop-and-frisk policy used in other major cities, including New York, has sparked a backlash from several city supervisors and concerns, particularly among the African American and Hispanic communities. (AP Photo/Marcio Jose Sanchez)

Activist Theo Ellington voices his opposition to a proposed stop-and-frisk policy outside of city hall, in San Francisco, Tuesday, July 17, 2012. San Francisco Mayor Ed Lee's floating of a controversial

(l to r), Obai Rambo, Theo Ellington, Pastor Hillman and Javier Pruitt Hill gather on the steps of City Hall San Francisco, Calif. on Tuesday July 17, 2012. A rally led by the Black Young Democrats of San Francisco, are calling on Mayor Ed Lee to put a stop to the controversial Stop and Frisk policing proposal. A petition containing 2,000 signatures was collected to show the opposition to the policy.

(l to r), Obai Rambo, Theo Ellington, Pastor Hillman and Javier Pruitt Hill gather on the steps of City Hall San Francisco, Calif. on Tuesday July 17, 2012. A rally led by the Black Young Democrats of San

San Francisco Supervisor, John Avalos, (left) and Theo Ellington, president of the Black Young Democrats of San Francisco, voices his opposition, on the steps of City Hall San Francisco, Calif. on Tuesday July 17, 2012. A rally led by the Black Young Democrats of San Francisco, are calling on Mayor Ed Lee to put a stop to the controversial Stop and Frisk policing proposal. A petition containing 2,000 signatures was collected to show the opposition to the policy.

San Francisco Supervisor, John Avalos, (left) and Theo Ellington, president of the Black Young Democrats of San Francisco, voices his opposition, on the steps of City Hall San Francisco, Calif. on Tuesday July

Javier Pruitt Hill, Theo Ellington and Mattie Scott walk to the Mayor's office to deliver the petition, following a rally on the steps of City Hall San Francisco, Calif. on Tuesday July 17, 2012. The office was locked and no one answered the door. A rally led by the Black Young Democrats of San Francisco, are calling on Mayor Ed Lee to put a stop to the controversial Stop and Frisk policing proposal. A petition containing 2,000 signatures was collected to show the opposition to the policy.

Javier Pruitt Hill, Theo Ellington and Mattie Scott walk to the Mayor's office to deliver the petition, following a rally on the steps of City Hall San Francisco, Calif. on Tuesday July 17, 2012. The office was

Tim "Toaster" Henderson speaks to the crowd gathered on the steps of City Hall San Francisco, Calif. on Tuesday July 17, 2012. A rally led by the Black Young Democrats of San Francisco, are calling on Mayor Ed Lee to put a stop to the controversial Stop and Frisk policing proposal. A petition containing 2,000 signatures was collected to show the opposition to the policy.

Tim "Toaster" Henderson speaks to the crowd gathered on the steps of City Hall San Francisco, Calif. on Tuesday July 17, 2012. A rally led by the Black Young Democrats of San Francisco, are calling on Mayor Ed

Mayor Ed Lee's plan to consider implementing stop-and-frisk police tactics in San Francisco came under attack from both outside and inside City Hall on Tuesday.

The Board of Supervisors voted unanimously in favor of a nonbinding resolution urging Lee not to adopt a stop-and-frisk policy like that of New York City, where officers can stop and search people they deem suspicious.

"It is unnecessary, unwanted and unconstitutional," said Supervisor Malia Cohen, who sponsored the resolution.

Before the vote, Lee issued a statement and insisted during his monthly Question Time session in front of the board that he would not approve of a plan that discriminates against minorities.

"I want to be clear that I have not considered implementing a policy in San Francisco that would violate anyone's constitutional rights or that would result in racial profiling," he said in the statement.

The mayor also told reporters that he might even drop the term stop and frisk as he looks for ways to reduce gun violence in the city.

"If it means rephrasing it, I'll clearly be open to that, but I've got to get to the guns, we've got to stop the violence in the Bayview and Ingleside communities," he said.

Earlier in the day, about 40 people opposed to a stop-and-frisk policy attended a rally on City Hall steps as they prepared to deliver 2,000 signatures from an online petition to Lee's office. The rally was organized by the Black Young Democrats of San Francisco.

Outreach: The Golden State Warriors' owners are remarkably upbeat for businessmen who have paid a record $450 million for a basketball team that's gone to the playoffs once in 19 years and are looking to sink another $500 million into a bayfront arena that may never get built.

"There's no great reward without risk," said Peter Guber, who called the effort with co-owner Joe Lacob "a privately financed adventure."

Guber and Lacob were at the San Francisco City Club on Tuesday to talk about their efforts to bring the Warriors back to the city from their current home in Oakland and house them in a multipurpose arena built on aging city-owned Piers 30-32.

After making a splash in May by joining Mayor Ed Lee and other local officials in announcing the planned move, both Guber and Lacob have been keeping relatively mum about the details of the plan, which tentatively calls for opening the arena in 2017.

They've been meeting with would-be neighbors along the Embarcadero and other city groups, listening to their concerns and trying to judge the level of support - and opposition - for the project.

"We haven't heard a lot of complaints, and we're going to try and make as many people happy as possible," said Lacob.

The partners intend to rebuild the crumbling 13-acre piers and use them not only for the arena, but also for a surrounding entertainment area. If the proposal runs into insurmountable problems, the team's Plan B for a new home might not include San Francisco.

Dollars and sense: Plans to plant hundreds of new meters in Mission Bay and the South of Market near the Giants ballpark were met Tuesday with a stern response from Supervisor Jane Kim: Not so fast.

Kim, who represents the area, is concerned about her constituents who would have to pay for metered curbside parking until 10 p.m., seven days a week, to park near their homes. The cost? As high as $7 an hour when the Giants are playing at AT&T Park. The night-time rate could drop to as low as 25 cents an hour on non-game days.

Kim requested a hearing on the Municipal Transportation Agency's plan for parking around the ballpark. "People should have to pay for parking. I'm just wondering if there is a less punitive way of doing it for residents," she said.